The state of a single logical qubit can be initialized in either \(\vert \bar{+} \rangle \)  or \(\vert \bar{0} \rangle \)  by measuring the ancillary qubits of the first temporal layer in the \(p\)  or \(q\)  quadrature, respectively, while the rest of the measurements are all performed in the \(p\)  quadrature. The initialization can be performed fault-tolerantly by measuring a number of layers that scales linearly in the code distance and then performing error correction as described in Sec:QEC. Alternatively, the error correction can be performed during a subsequent patch deformation [1]}; the latter is more resource-efficient, and is thus the approach we favour.
